Open Question
A metal is thought to be copper or gold. When 18 g of themetal absorbs 58 cal, its temperature rises by 35 °C. (3.6)a. What is the specific heat, in cal/g °C, of the metal?
7. Energy, Rate and Equilibrium
Heat Capacity
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Based on their given specific heat capacities which compound would show the greatest temperature change upon absorbing 25.0 J of heat?
A
250.0 g Al
B
250.0 g Cu
C
250.0 g ethanol
D
250.0 g wood
Verified step by step guidance1
Identify the formula for calculating the temperature change: \( \Delta T = \frac{q}{m \cdot C} \), where \( q \) is the heat absorbed, \( m \) is the mass, and \( C \) is the specific heat capacity.
Substitute the given values into the formula for each substance. For example, for aluminum: \( \Delta T_{Al} = \frac{25.0 \text{ J}}{250.0 \text{ g} \times 0.900 \text{ J/g°C}} \).
Repeat the substitution for copper: \( \Delta T_{Cu} = \frac{25.0 \text{ J}}{250.0 \text{ g} \times 0.385 \text{ J/g°C}} \).
Repeat the substitution for ethanol: \( \Delta T_{ethanol} = \frac{25.0 \text{ J}}{250.0 \text{ g} \times 2.460 \text{ J/g°C}} \).
Repeat the substitution for wood: \( \Delta T_{wood} = \frac{25.0 \text{ J}}{250.0 \text{ g} \times 1.760 \text{ J/g°C}} \). Compare the calculated \( \Delta T \) values to determine which substance has the greatest temperature change.
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